Ratio of height of the man to the length of the shadow = 6:9 = 2:3
Ratio of height of the tree to the length of its shadow = x:25 = 2:3
x/25 = 2/3
x = (25 x 2)/3 = 50/3 = 16.67
Therefore the approximate height of the tree to the nearest foot is 17 feet.
Answer:
it's answer is B.
Step-by-step explanation:
you're welcome:)
Answer:
Tan C = 3/4
Step-by-step explanation:
Given-
∠ A = 90°, sin C = 3 / 5
<u>METHOD - I</u>
<u><em>Sin² C + Cos² C = 1</em></u>
Cos² C = 1 - Sin² C
Cos² C = 
Cos² C = 
Cos² C = 
Cos C = 
Cos C = 
As we know that
Tan C = 
<em>Tan C = 
</em>
<em>Tan C = 
</em>
<u>METHOD - II</u>
Given Sin C = 
therefore,
AB ( Height ) = 3; BC ( Hypotenuse) = 5
<em>∵ ΔABC is Right triangle.</em>
<em>∴ By Pythagorean Theorem-</em>
<em>AB² + AC² = BC²</em>
<em>AC² </em><em>= </em><em>BC² </em><em>- </em><em> AB</em><em>² </em>
<em>AC² = 5² - 3²</em>
<em>AC² = 25 - 9</em>
<em>AC² = 16</em>
<em>AC ( Base) = 4</em>
<em>Since, </em>
<em>Tan C = 
</em>
<em>Tan C = 
</em>
<em>Hence Tan C = </em>
<em />
The value of the logarithm of ln(121) is <span>
4.7958 </span>Rounding <span>the answer to the nearest ten thousandth</span>
Answer:
$8.8 per hour
Step-by-step explanation:
Well, the equation is simple.
Time (hours) * Money (per hour) = Total
We know the time he worked for and the total amount he earned, so just replace in this equation and find the unknown number
12.5 * money = 110
To find the money he earns per hour we should just simply divide the total amount he earned by the hours he spent working
money = 110/12.5
money = 8.8$
You can also check it out to make sure it's correct.
If he earns 8.8$ per hour and worked for 12.5 hours how much he'll earn? Let's find out
8.8 * 12.5 =?
8.8 * 12.5 = 110, the same total amount so our solution must be correct.
